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Finding the Third Proportional to 303,502 and 651,284

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Solution

The third proportional to 303,502 and 651,284 is: 1,397,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,502 : 651,284 = 651,284 : x
  2. Step 2: Convert to fraction form
    303,502/651,284 = 651,284/x
  3. Step 3: Cross multiply
    303,502x = 651,284 × 651,284
  4. Step 4: Simplify right side
    303,502x = 424,170,848,656
  5. Step 5: Solve for x
    x = 424,170,848,656/303,502
  6. Step 6: Final answer
    x = 1,397,588.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.